Project Euler/240
From charlesreid1
Problem Statement
Top Dice
There are 1111 ways in which five 6-sided dice (sides numbered 1 to 6) can be rolled so that the top three sum to 15. Some examples are:
D1,D2,D3,D4,D5 = 4,3,3,3,3 D1,D2,D3,D4,D5 = 4,3,3,3,6 D1,D2,D3,D4,D5 = 5,2,4,4,6 D1,D2,D3,D4,D5 = 6,2,2,4,5 D1,D2,D3,D4,D5 = 6,1,2,1,6
In how many ways can twenty 12-sided dice (sides numbered 1 to 12) be rolled so that the top ten sum to 70?
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